TITLE:
Generalization of Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Cho-Kwon-Srivastava Operator
AUTHORS:
Elsayed A. Elrifai, Hanan E. Darwish, Abdusalam R. Ahmed
KEYWORDS:
Multivalent Functions, Cho-Kwon-Srivastava Operator, Modified-Hadamard Product, Fractional Calculus
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.10,
October
11,
2011
ABSTRACT: Making use of the Cho-Kwon-Srivastava operator, we introduce and study a certain SCn (j, p, λ, α, δ) of p-valently analytic functions with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorem, radii of close-to-convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class SCn (j, p, λ, α, δ). Finally, several applications investigate an integral operator, and certain fractional calculus operators also considered.